Deformed hyperbolic black holes

Abstract

Black holes with planar or hyperbolic horizons are known to exist in AdS space, alongside the usual ones with spherical horizons. In this paper, we consider a one-parameter generalisation of these black holes that is contained in the AdS C-metric. In terms of the domain-structure analysis recently developed for such solutions, these black holes have a domain in the shape of a triangle. It is shown that the horizons of these black holes are deformed hyperbolic spaces, with the new parameter controlling the amount of deformation. The space-times are static and completely regular outside the horizons. We argue that these black holes are hyperbolic analogues of the "slowly accelerating" spherical black holes known to exist in AdS space.

36 pages, 12 figures; v3: added discussion; as accepted for publication in Phys. Rev. D

References in corpus (4)

• Introduction to Holographic Superconductor Models
• The AdS/CFT Correspondence
• Ultraspinning limits and super-entropic black holes
• A new form of the C-metric with cosmological constant

Cited by in corpus (18)

• Topological classes of rotating black holes
• Evidence for an Electrifying Violation of Cosmic Censorship
• Thermodynamics of Regular Accelerating Black Holes
• Topological classes of thermodynamics of the four-dimensional static accelerating black holes
• Are ultra-spinning Kerr-Sen-AdS${}_4$ black holes always super-entropic ?
• Universal thermodynamic topological classes of rotating black holes
• Thermodynamic geometry and complexity of black holes in theories with broken translational invariance
• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
• Light rings and shadows of static black holes in effective quantum gravity II: A new solution without Cauchy horizons
• Testing horizon topology with electromagnetic observations
• Deforming black holes in AdS
• Electric/magnetic universe with a cosmological constant
• Black holes with bottle-shaped horizons
• Rotating and accelerating black holes with cosmological constant
• Deforming black holes with even multipolar differential rotation boundary
• Deforming black holes with odd multipolar differential rotation boundary
• Charged C-metric in conformal gravity
• Deforming charged black holes with dipolar differential rotation boundary